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20434412404 = 22747113137413
BaseRepresentation
bin10011000001111111…
…000110001101110100
31221202002221201001001
4103001333012031310
5313322202144104
613215404213044
71322245432240
oct230177061564
957662851031
1020434412404
11873676953a
123b6353a184
131c086a76b3
14dbbc87420
157e8e7aaa4
hex4c1fc6374

20434412404 has 48 divisors (see below), whose sum is σ = 42108046848. Its totient is φ = 8495359488.

The previous prime is 20434412377. The next prime is 20434412459. The reversal of 20434412404 is 40421443402.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80002 + ... + 217414.

It is an arithmetic number, because the mean of its divisors is an integer number (877250976).

Almost surely, 220434412404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20434412404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21054023424).

20434412404 is an abundant number, since it is smaller than the sum of its proper divisors (21673634444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20434412404 is a wasteful number, since it uses less digits than its factorization.

20434412404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137584 (or 137582 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 20434412404 its reverse (40421443402), we get a palindrome (60855855806).

The spelling of 20434412404 in words is "twenty billion, four hundred thirty-four million, four hundred twelve thousand, four hundred four".

Divisors: 1 2 4 7 14 28 47 94 113 188 226 329 452 658 791 1316 1582 3164 5311 10622 21244 37177 74354 137413 148708 274826 549652 961891 1923782 3847564 6458411 12916822 15527669 25833644 31055338 45208877 62110676 90417754 108693683 180835508 217387366 434774732 729800443 1459600886 2919201772 5108603101 10217206202 20434412404